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Oberseminar Differentialgeometrie, Marcos Alexandrino (IME USP Brazil): On singular Finsler foliation

Ort: A 520

Abstract: In this talk we introduce the concept of singular Finsler foliation, which generalizes the concepts of Finsler actions, Finsler submersions and (regular) Finsler foliations. We show that if $F$ is a singular Finsler foliation with closed leaves on a Randers manifold $(M,Z)$ with Zermelo data $(h,W),$ then $F$ is a singular Riemannian foliation on the Riemannian manifold $(M,h)$. We also present a slice theorem that locally relates singular Finsler foliations on Finsler manifolds with singular Finsler foliations on Minkowski spaces. This talk is based on a joint work with Prof. Miguel Angel Javaloyes (Murcia-Spain) and Dr. Benigno O. Alves (IME USP-Brazil).

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Beginn: 16. Januar 2018 15:00

Ende: 16. Januar 2018 16:00